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2461228432 = 241322752127
BaseRepresentation
bin1001001010110011…
…0101110110010000
320100112020100200121
42102230311312100
520020033302212
61044120400024
7114664045045
oct22254656620
96315210617
102461228432
111053332393
12588316014
13302ba5ab0
14194c3b1cc
15e611cd07
hex92b35d90

2461228432 has 40 divisors (see below), whose sum is σ = 5158169856. Its totient is φ = 1130925696.

The previous prime is 2461228423. The next prime is 2461228457. The reversal of 2461228432 is 2348221642.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21153 + ... + 73279.

Almost surely, 22461228432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579084928).

2461228432 is an abundant number, since it is smaller than the sum of its proper divisors (2696941424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2461228432 is a wasteful number, since it uses less digits than its factorization.

2461228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52375 (or 52369 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 2461228432 is about 49610.7693147365. The cubic root of 2461228432 is about 1350.1560737709.

The spelling of 2461228432 in words is "two billion, four hundred sixty-one million, two hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 227 454 908 1816 2951 3632 5902 11804 23608 47216 52127 104254 208508 417016 677651 834032 1355302 2710604 5421208 10842416 11832829 23665658 47331316 94662632 153826777 189325264 307653554 615307108 1230614216 2461228432